摘要
针对不同的六边形孔,采用复变函数理论中的保角变换原理,对某些算法进行一定的改进,建立一个准确的解析分析方法,从而得到含复杂孔形复合材料板孔边应力场的解析计算公式。由于弯曲和剪切荷载对含孔复合材料构件危害较大,因此,从工程实际出发,该文以含六边形孔的复合材料板为例,采用所建立的计算模型,对其在剪切荷载、弯矩作用下的孔边应力分布,以及应力峰值进行较为全面的分析、计算。针对相关几何参数的变化,例如长宽比的变化对孔边应力场的影响进行分析。并对剪切荷载和弯矩对具有不同几何尺寸的六边形孔边应力场的影响进行比较。同时对两种荷载对孔边应力场的影响也进行比较。
An accurate analytic method of a composite material plate with different hexagon holes is founded based on the conformal mapping of complex function theory. The analytic equations of a hole-edge stress field of a complex hole-shape are gained. Because the bending moment and sheafing force can cause great harms to a composite material structure with holes, as an example of composite material plates with hexagon holes, the comprehensive analysis and calculation on the distributions and the peak values of the hole-edge stress are made by sheafing load and bending moment according to the calculation model. The analysis is made for the influence of geometric parameters on the hole-edge stress field, such as the ratio of length to width. The comparison is made between the influence of sheafing load and that of bending moment on the hole-edge stress field of a hexagon hole with various parameters. And so does the influence of two types of loads on the hole-edge stress field.
出处
《工程力学》
EI
CSCD
北大核心
2009年第8期39-43,共5页
Engineering Mechanics
关键词
含孔复合材料板
六边形孔
应力峰值
保角变换
剪切荷载
弯矩
composite material plate with hole
hexagon holes
peak value of stress
conformal mapping
sheafing load
bending moment
